Anomalous Transport
Anomalous Transport

Author: Rainer Klages

Publisher: John Wiley & Sons

Published: 2008-09-02

Total Pages: 614

ISBN-13: 9783527407224

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This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.

Aspects of Anomalous Transport in Plasmas
Aspects of Anomalous Transport in Plasmas

Author: Radu Balescu

Publisher: CRC Press

Published: 2005-04-01

Total Pages: 498

ISBN-13: 9781420034684

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Anomalous transport is a ubiquitous phenomenon in astrophysical, geophysical and laboratory plasmas; and is a key topic in controlled nuclear fusion research. Despite its fundamental importance and ongoing research interest, a full understanding of anomalous transport in plasmas is still incomplete, due to the complexity of the nonlinear phenomena involved. Aspects in Anomalous Transport in Plasmas is the first book to systematically consider anomalous plasma transport theory and provides a unification of the many theoretical models by emphasizing interrelations between seemingly different methodologies. It is not intended as a catalogue of the vast number of plasma instabilities leading to anomalous transport; instead it chooses a number of these and emphasizes the aspects specifically due to turbulence. After a brief introduction, the microscopic theory of turbulence is discussed, including quasilinear theory and various aspects of renormalization methods, which leads to an understanding of resonance broadening, mode coupling, trajectory correlation and clumps. The second half of the book is devoted to stochiastic tramsport, using methods based on the Langevin equations and on Random Walk theory. This treatment aims at going beyond the traditional limits of weak turbulence, by introducing the recently developed method of decorrelation trajectories, and its application to electrostatic turbulence, magnetic turbulence and zonal flow generation. The final chapter includes very recent work on the nonlocal transport phenomenon.

Anomalous Transport
Anomalous Transport

Author: Rainer Klages

Publisher: John Wiley & Sons

Published: 2008-09-08

Total Pages: 608

ISBN-13: 3527622985

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This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.

Fractional Kinetics in Solids
Fractional Kinetics in Solids

Author: Vladimir Uchaikin

Publisher: World Scientific

Published: 2013

Total Pages: 274

ISBN-13: 9814355437

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In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher-Montroll and Arkhipov-Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described.

Anomalous Transport Arising from Nonlinear Resistive Pressure-Driven Modes in a Plasma
Anomalous Transport Arising from Nonlinear Resistive Pressure-Driven Modes in a Plasma

Author: Satoshi Hamaguchi

Publisher: Sagwan Press

Published: 2015-08-23

Total Pages: 110

ISBN-13: 9781340069346

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Anomalous Transport Arising from Nonlinear Resistive Pressure-Driven Modes in a Plasma - Primary Source Edition
Anomalous Transport Arising from Nonlinear Resistive Pressure-Driven Modes in a Plasma - Primary Source Edition

Author: Satoshi Hamaguchi

Publisher:

Published: 2013-12

Total Pages: 110

ISBN-13: 9781293362211

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